Question

3. Find two numbers whose sum is 27 and product is 182​

Answer 1

Answer:

Let x and y be two numbers

Given, x+y=27 ............(1)

and xy=182 .............(2)

From (1), we get x=27−y

Put x=27−y in (2) we get,

(27−y)y=182⇒27y−y

2

=182⇒y

2

−27y+182=0

⇒(y−14)(y−13)=0

⇒y=14 or y=13

∴ if y=14 then x=13 and if y=13 then x=14

Two numbers are 13 and 14

Answer 2

$\bf\underline{\underline{\green{SOLUTION:-}}}$

Question

• Find two numbers whose sum is 27 and product is 182?

Answer

• Required numbers are 13 and 14

Given

• Sum of two Numbers = 27
• Product = 182

To Calculate

• Numbers __?

Explanation

Sum of Two numbers = 27 ( Given )

Product of Two numbers = 182 ( Given )

Let First number be x

Second be 27-x

According to Question

➺ x(27-x) =182

➺ 27x-x²=182

➺ x²-27x+182=0

➺ x²-(13+14)x+182=0

➺ x²-13x-14x+182=0

➺ x(x-13)-14(x-13)=0

➺ (x-13)(x-14)=0

➺ x=13 , x=14

$\bf\underline{\underline{\green{HENCE:-}}}$

• Required numbers are 13 and 14

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